Average Error: 0.0 → 0.0
Time: 2.9s
Precision: 64
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
\left(\frac{x}{2.0} + y \cdot x\right) + z
↓
\left(\frac{x}{2.0} + y \cdot x\right) + z
double f(double x, double y, double z) {
        double r11485163 = x;
        double r11485164 = 2.0;
        double r11485165 = r11485163 / r11485164;
        double r11485166 = y;
        double r11485167 = r11485166 * r11485163;
        double r11485168 = r11485165 + r11485167;
        double r11485169 = z;
        double r11485170 = r11485168 + r11485169;
        return r11485170;
}
↓
double f(double x, double y, double z) {
        double r11485171 = x;
        double r11485172 = 2.0;
        double r11485173 = r11485171 / r11485172;
        double r11485174 = y;
        double r11485175 = r11485174 * r11485171;
        double r11485176 = r11485173 + r11485175;
        double r11485177 = z;
        double r11485178 = r11485176 + r11485177;
        return r11485178;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\frac{x}{2.0} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2.0} + y \cdot x\right) + z\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))